Question

Alex competes in 10 metre air gun shooting. He scores a 7.1, 8.3 and a 9 in three 10 point rounds. He has one more 10 pointer round to participate and he requires, an average of at least 8.4 points to qualify to state team. Which inequality represents the range of points, he can get to qualify to state team?

• A. $p\ge 8$
• B. $p\ge 8.1$
• C. $p\ge 8.4$
• D. $p\ge 9.2$

Answer 1

The correct option is D $p\ge 9.2$

Step 1: Underline Key words

Alex competes in 10 metre air gun shooting. He scores a 7.1, 8.3 and a 9 in three 10 point rounds. He has one more 10 pointer round to participate and he requires, an average of at least 8.4 points to qualify to state team. Which inequality represents the range of points, he can get to qualify to state team?

Step 2 : Recognize and Define the variable
Let his score in the fourth round be 'x'

Step 3: Decipher the relation

The required average points $\ge 8.4$
$\frac{(7.1+8.3+9+x)}{4}\ge 8.4$
$24.4+x\ge 33.6$
$X\ge 9.2$
Or $p\ge 9.2$
Hence, the correct answer is D.